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March 28, 2017

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Four marbles are drawn at random from a bag containing 7 black marbles and 10 red marbles. Determine the number of outcomes in the sample space of this experiment if the marbles are drawn without replacement.

  • algebra - ,

    All black --- 1
    3black, 1red = 4!/(3!1!) = 4
    2black, 2red = 4!(2!2!) = 6
    1 black, 3red = 4
    all red = 1

    BBBB

    BBBR
    BBRB
    BRBB
    RBBB

    BBRR
    RRBB
    BRBR
    RBRB
    BRRB
    RBBR

    RRRB
    RRBR
    RBRR
    BRRR

    RRRR

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